[Auero]

Go to your Admin CP
.Log In
..Scroll down the left hand side (the menu)
...Find Templates
...Click Modify
....Find Forum Home Page Templates
.....Click edit on forumhome
......Scroll down nearly to the bottom, you should be able to find $logincode , if not search for it in the little search box provided.
.......Highlight $logincode then drag it up the page, drop it to where you want. If you want it to be under what you said them drag it to $welcometext or just below it. Click Save. Now go to your Forums home page and you should see it has been moved.